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Finding the Third Proportional to 71,329 and 110,391

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Solution

The third proportional to 71,329 and 110,391 is: 170,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329 : 110,391 = 110,391 : x
  2. Step 2: Convert to fraction form
    71,329/110,391 = 110,391/x
  3. Step 3: Cross multiply
    71,329x = 110,391 × 110,391
  4. Step 4: Simplify right side
    71,329x = 12,186,172,881
  5. Step 5: Solve for x
    x = 12,186,172,881/71,329
  6. Step 6: Final answer
    x = 170,844.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.